- Some Beyond The Standard Model Theories Such As Susy Predict That The Electron May Possess A Non Zero But Small Electr 1 (26.19 KiB) Viewed 32 times
- Some Beyond The Standard Model Theories Such As Susy Predict That The Electron May Possess A Non Zero But Small Electr 2 (26.47 KiB) Viewed 32 times
Some beyond-the-standard-model theories, such as SUSY, predict that the electron may possess a non-zero but small electric dipole moment (EDM). If such EDM should exist, it should be proportional to the electron spin, and that it can be incorporated into the Dirac formulation, with EM interactions present, as follows: (iy"Du – m)ų = 0 (iyDu – m-ig cuVy5 Fev) = 0, Where d is related to the magnitude of the EDM, and D = 0,4 - iA, Fx = 0A, - , Ay, OHV OLA, – QyAve, OHV = { [74,7). 3 =
a) We can show that this leads to a new Dirac Hamiltonian, H, as shown below: You do not need to prove this here. You can just accept it. [Extra credit] if you prove it. H = H, + H'; where H, = å. (- eA) + my° +ed, and H' = -1°(E. E +ià.B) d b) Show that H' is odd under parity. c) Show that H' is odd under time reversal. d) If indeed the electron happens to possess such a non-zero EDM, what are the implications in light of the parts (b) and (c)?